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Decay Estimates for Steady Solutions of the Navier--Stokes Equations in Two Dimensions in the Presence of a Wall

Published inSIAM journal on mathematical analysis, vol. 44, no. 5, p. 3346-3368
Publication date2012
Abstract

Let w be the vorticity of a stationary solution of the two-dimensional Navier-Stokes equations with a drift term parallel to the boundary in the half-plane -infty1, with zero Dirichlet boundary conditions at y=1 and at infinity, and with a small force term of compact support. Then, |xyw(x,y)| is uniformly bounded in the half-plane. The proof is given in a specially adapted functional framework and complements previous work.

Keywords
  • Navier–Stokes
  • Exterior domain
  • Fluid-structure interaction
  • Asymptotic behavior
Citation (ISO format)
BOECKLE, Christoph Nicolas, WITTWER, Peter. Decay Estimates for Steady Solutions of the Navier--Stokes Equations in Two Dimensions in the Presence of a Wall. In: SIAM journal on mathematical analysis, 2012, vol. 44, n° 5, p. 3346–3368. doi: 10.1137/110852565
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ISSN of the journal0036-1410
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